κ = Σ(Cᵢ × Λᵢ)
Where Cᵢ is the molar concentration of ion i (mol/L) and Λᵢ is its molar conductivity (S·cm²/mol).
Solution conductivity (κ) is a measure of a solution's ability to conduct electrical current. It depends on the concentration and mobility of ions present in the solution. Unlike pure water, which is a poor conductor, aqueous solutions containing dissolved salts, acids, or bases are good conductors due to the presence of mobile ions that carry electrical charge.
The conductivity of a solution is determined by summing the contributions of all ions present, where each ion's contribution is the product of its concentration and its molar conductivity (also called ionic conductivity). Molar conductivity represents the conducting power of all ions produced by dissolving one mole of an electrolyte and is characteristic of each ion species.
To calculate solution conductivity, multiply the molar concentration of each ion by its molar conductivity and sum these products for all ions in solution. For example, a 0.1 M NaCl solution contains 0.1 M Na⁺ (Λ = 50.1 S·cm²/mol) and 0.1 M Cl⁻ (Λ = 76.3 S·cm²/mol), giving a total conductivity of approximately 1.26 S/m at 25°C.
Temperature significantly affects conductivity, with conductivity typically increasing by about 2% per degree Celsius above 25°C due to increased ion mobility. This calculator includes an optional temperature correction to account for measurements made at temperatures different from the standard 25°C. The molar conductivity values used should ideally be at infinite dilution or appropriate for the concentration range being studied.
Conductivity measurements are widely used in water quality monitoring, where they provide a quick assessment of total dissolved solids (TDS) in drinking water, wastewater, and environmental samples. In analytical chemistry, conductivity detection is used in ion chromatography and capillary electrophoresis to identify and quantify ionic species without requiring optical properties.
Industrial applications include monitoring the concentration of acids, bases, and salts in chemical processes, controlling the purity of ultrapure water in semiconductor manufacturing and pharmaceutical production, and optimizing electroplating baths. In agriculture, soil conductivity measurements help assess salinity levels that affect crop growth. Conductivity is also fundamental to understanding electrochemical cells, batteries, and fuel cells.
Calculations assume ideal dilute solutions where ion-ion interactions are negligible and molar conductivities remain constant. Actual conductivity may vary due to ion pairing, incomplete dissociation, changes in ion mobility with concentration, and temperature effects not fully captured by the simple correction factor. For precise work, especially at high concentrations or with weak electrolytes, experimental measurements or more sophisticated models should be used. Molar conductivity values should be verified for the specific conditions of your application.